Exact closed-form static solutions for parabolic arches with concentrated damage

Ugurcan Eroglu; Achille Paolone; Giuseppe Ruta; Ekrem Tüfekci

doi:10.1007/s00419-019-01633-x

Exact closed-form static solutions for parabolic arches with concentrated damage

Ugurcan Eroglu
, Achille Paolone
, Giuseppe Ruta^*
, Ekrem Tüfekci

^*Bu çalışma için yazışmadan sorumlu yazar

Makina Mühendisliği Bölümü

University of Rome La Sapienza
National Group for Mathematical Physics

Araştırma çıktısı: Dergi yayını › Makale › Hakem

9 Atıf (Scopus)

Özet

The statics of fully deformable parabolic arches affected by a small crack at opposite sides of a damaged cross section is studied. The finite governing equations are linearized; the mechanical response for ‘small’ displacements and rotation is assumed. The effect of the crack is modelled by springs with stiffnesses calculated through linear elastic fracture mechanics. Closed-form exact static solutions are found under suitable boundary and continuity conditions. The effects of the crack position along the arch axis, its depth, and location on the cross section for different loading and boundary conditions are investigated and commented. The possibility of using these solutions in structural identification is discussed.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	673-689
Sayfa sayısı	17
Dergi	Archive of Applied Mechanics
Hacim	90
Basın numarası	4
DOI'lar	https://doi.org/10.1007/s00419-019-01633-x
Yayın durumu	Yayınlandı - 1 Nis 2020

Bibliyografik not

Publisher Copyright:
© 2019, Springer-Verlag GmbH Germany, part of Springer Nature.

Finansman

U. Eroglu was Visiting Researcher at the Dipartimento d’ingegneria strutturale e geotecnica, University ‘La Sapienza’, the support of which is gratefully acknowledged. G. Ruta acknowledges the financial support of institutional grants of ‘La Sapienza’ and of PRIN 2015TTJN95 “Identification and monitoring of complex structural systems” from Italian Ministry of University and Research. U. Eroglu and E. Tufekci acknowledge the support of the Scientific and Technological Council of Turkey (TUBITAK) with Grant Project No. 213M608.

Finansörler	Finansör numarası
Ministero dell’Istruzione, dell’Università e della Ricerca
Türkiye Bilimsel ve Teknolojik Araştirma Kurumu	213M608

Belgeye Erişim

10.1007/s00419-019-01633-x

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "Exact closed-form static solutions for parabolic arches with concentrated damage",

abstract = "The statics of fully deformable parabolic arches affected by a small crack at opposite sides of a damaged cross section is studied. The finite governing equations are linearized; the mechanical response for {\textquoteleft}small{\textquoteright} displacements and rotation is assumed. The effect of the crack is modelled by springs with stiffnesses calculated through linear elastic fracture mechanics. Closed-form exact static solutions are found under suitable boundary and continuity conditions. The effects of the crack position along the arch axis, its depth, and location on the cross section for different loading and boundary conditions are investigated and commented. The possibility of using these solutions in structural identification is discussed.",

keywords = "Closed-form solutions, Damage, Exact solutions, Fracture mechanics, Parabolic arch",

author = "Ugurcan Eroglu and Achille Paolone and Giuseppe Ruta and Ekrem T{\"u}fekci",

note = "Publisher Copyright: {\textcopyright} 2019, Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2020",

month = apr,

day = "1",

doi = "10.1007/s00419-019-01633-x",

language = "English",

volume = "90",

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journal = "Archive of Applied Mechanics",

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TY - JOUR

T1 - Exact closed-form static solutions for parabolic arches with concentrated damage

AU - Eroglu, Ugurcan

AU - Paolone, Achille

AU - Ruta, Giuseppe

AU - Tüfekci, Ekrem

PY - 2020/4/1

Y1 - 2020/4/1

N2 - The statics of fully deformable parabolic arches affected by a small crack at opposite sides of a damaged cross section is studied. The finite governing equations are linearized; the mechanical response for ‘small’ displacements and rotation is assumed. The effect of the crack is modelled by springs with stiffnesses calculated through linear elastic fracture mechanics. Closed-form exact static solutions are found under suitable boundary and continuity conditions. The effects of the crack position along the arch axis, its depth, and location on the cross section for different loading and boundary conditions are investigated and commented. The possibility of using these solutions in structural identification is discussed.

AB - The statics of fully deformable parabolic arches affected by a small crack at opposite sides of a damaged cross section is studied. The finite governing equations are linearized; the mechanical response for ‘small’ displacements and rotation is assumed. The effect of the crack is modelled by springs with stiffnesses calculated through linear elastic fracture mechanics. Closed-form exact static solutions are found under suitable boundary and continuity conditions. The effects of the crack position along the arch axis, its depth, and location on the cross section for different loading and boundary conditions are investigated and commented. The possibility of using these solutions in structural identification is discussed.

KW - Closed-form solutions

KW - Damage

KW - Exact solutions

KW - Fracture mechanics

KW - Parabolic arch

UR - https://www.scopus.com/pages/publications/85075454409

U2 - 10.1007/s00419-019-01633-x

DO - 10.1007/s00419-019-01633-x

M3 - Article

AN - SCOPUS:85075454409

SN - 0939-1533

VL - 90

SP - 673

EP - 689

JO - Archive of Applied Mechanics

JF - Archive of Applied Mechanics

IS - 4

ER -

Exact closed-form static solutions for parabolic arches with concentrated damage

Özet

Bibliyografik not

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

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